affine

American  

[a-fahyn, uh-fahyn, af-ahyn] / æˈfaɪn, əˈfaɪn, ˈæf aɪn /

noun

1. a person related to one by marriage.

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adjective

Mathematics.

1. assigning finite values to finite quantities.

2. of or relating to a transformation that maps parallel lines to parallel lines and finite points to finite points.

affine British  

/ ˈæfaɪn /

adjective

1. maths of, characterizing, or involving transformations which preserve collinearity, esp in classical geometry, those of translation, rotation and reflection in an axis

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Other Word Forms

• affinely adverb

Etymology

Origin of affine

1500–10; < French affin related < Latin affinis akin, neighboring

Example Sentences

The affine wealth model has been applied to empirical data from many countries and epochs.

From Scientific American • Oct. 30, 2019

Schr�dinger has found this in an "affine" geometry, which deals with pure concepts in their essence, not with measurement in the ordinary sense.

From Time Magazine Archive

The variety J. officinale affine has flowers that are individually larger than those of the species; J. officinale aurea has badly variegated leaves; J. officinale grandiflorum and J. officinale grandiflorum majus, are also desirable kinds.

From Hardy Ornamental Flowering Trees and Shrubs by Webster, Angus Duncan

Chondrioderma affine, Rost., is said to be the same species.

From The Myxomycetes of the Miami Valley, Ohio by Morgan, A. P. (Andrew Price)

So, forth they came—a vast ancestral line, Upon my vision teeming, All shapes whose natal semblance could affine Them to me, faintly gleaming.

From Nirvana Days by Rice, Cale Young